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Finding the Fourth Proportional to 522.31, 720.78 and 289.43

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Solution

The fourth proportional to 522.31, 720.78 and 289.43 is: 399.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.31 : 720.78 = 289.43 : x
  2. Step 2: Convert to fraction form
    522.31/720.78 = 289.43/x
  3. Step 3: Cross multiply
    522.31x = 720.78 × 289.43
  4. Step 4: Simplify right side
    522.31x = 208,616.35
  5. Step 5: Solve for x
    x = 208,616.35/522.31
  6. Step 6: Final answer
    x = 399.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.